We consider a nonlinear boundary value problem with degenerate nonlocal term depending on the Lq-norm of the solution and the p-Laplace operator. We prove the multiplicity of positive solutions for the problem, where the number of solutions doubles the number of "positive bumps"of the degenerate term. The solutions are also ordered according to their Lq-norms.
Multiplicity of positive solutions for a degenerate nonlocal problem with p-Laplacian / Candito, P.; Gasinski, L.; Livrea, R.; Santos Junior, J. R.. - In: ADVANCES IN NONLINEAR ANALYSIS. - ISSN 2191-9496. - 11:1(2021), pp. 357-368. [10.1515/anona-2021-0200]
Multiplicity of positive solutions for a degenerate nonlocal problem with p-Laplacian
Candito P.
;
2021-01-01
Abstract
We consider a nonlinear boundary value problem with degenerate nonlocal term depending on the Lq-norm of the solution and the p-Laplace operator. We prove the multiplicity of positive solutions for the problem, where the number of solutions doubles the number of "positive bumps"of the degenerate term. The solutions are also ordered according to their Lq-norms.File in questo prodotto:
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